61828000 has 192 divisors, whose sum is σ = 173365920. Its totient is φ = 21504000.

The previous prime is 61827989. The next prime is 61828009. The reversal of 61828000 is 82816.

It can be written as a sum of positive squares in 16 ways, for example, as 24324624 + 37503376 = 4932^2 + 6124^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (61828009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1507980 + ... + 1508020.

Almost surely, 2^61828000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960).

61828000 is an abundant number, since it is smaller than the sum of its proper divisors (111537920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61828000 is a wasteful number, since it uses less digits than its factorization.

61828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 61828000 is about 7863.0782776213. The cubic root of 61828000 is about 395.4228234162.

The spelling of 61828000 in words is "sixty-one million, eight hundred twenty-eight thousand".